Answer:
7. <K = <R
8. PR = JK
9. <A = <X
10. TX = AB
For question 7, find the angle that looks the most similar to the angle in the question.
For question 8, since the sides (not the hyp.) are equal, PR will be equal to any of those two.
For question 9, the triangles are positioned differently, but it is the angle with two angle lines on it.
Lastly, for question 10, TX will be the same length as the shortest side in the corresponding triangle.
First, you find the volume of each individual cube, and then you add everything up.
1^3 +2^3+3^3+4^3 + 5^3 = 225
hope this helped :)
Answer:
Inside the circle
Step-by-step explanation:
Use the distance formula to find the distance between the center and the point.
d = √((x₁ − x₂)² + (y₁ − y₂)²)
d = √((-6 − 3)² + (3 − (-3))²)
d = √((-9)² + (6)²)
d = √(81 + 36)
d = √117
d ≈ 10.817
This is less than the radius of 11, so the point is inside the circle.
Since 
and 
, we can rewrite the right side of the equation as
Using the identity 
, we can subtract 
from either side to obtain the identity 
substituting that into our previous expression, the right side of our equation simply becomes
We can now write our whole equation as
Adding 2 to both sides:
dividing both sides by 3:
When 0 ≤ x ≤ π, tan x can only be equal to 1 when sin x = cos x, which happens at x = π/4, and it can only be equal to -1 when -sin x = cos x, which happens at x = 3π/4
